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Finding the Fourth Proportional to 9,976.86, 14,956.02 and 3,398.49

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Solution

The fourth proportional to 9,976.86, 14,956.02 and 3,398.49 is: 5,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.86 : 14,956.02 = 3,398.49 : x
  2. Step 2: Convert to fraction form
    9,976.86/14,956.02 = 3,398.49/x
  3. Step 3: Cross multiply
    9,976.86x = 14,956.02 × 3,398.49
  4. Step 4: Simplify right side
    9,976.86x = 50,827,884.41
  5. Step 5: Solve for x
    x = 50,827,884.41/9,976.86
  6. Step 6: Final answer
    x = 5,094.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.